Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Textbook Question
Chapter 36.11, Problem 1HE
For 1% accuracy, does an electron with K = 100 eV need to be treated relativistically? [Hint: The rest mass of an electron is 0.511 MeV.]
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An electron has a velocity v = 0.990c . (a) Calculate the kinetic energy in MeV of the electron. (b) Compare this with the classical value for kinetic energy at this velocity. (The mass of an electron is 9.11×10−31 kg .)
An electron has a velocity v= 0.990c.
(a) Calculate the kinetic energy in MeV of the electron.
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Chapter 36 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 36.4 - Examine the experiment of Fig. 366 from O1s...Ch. 36.5 - What is the muons mean lifetime (Example 361) if...Ch. 36.5 - A certain atomic clock keeps perfect time on...Ch. 36.6 - Prob. 1DECh. 36.8 - Use Eqs. 367 to calculate the speed of rocket 2 in...Ch. 36.8 - A rocket is headed away from Earth at a speed of...Ch. 36.11 - A proton is traveling in an accelerator with a...Ch. 36.11 - For 1% accuracy, does an electron with K = 100 eV...Ch. 36 - You are in a windowless car in an exceptionally...Ch. 36 - You might have had the experience of being at a...
Ch. 36 - Prob. 3QCh. 36 - Does the Earth really go around the Sun? Or is it...Ch. 36 - If you were on a spaceship traveling at 0.5c away...Ch. 36 - The time dilation effect is sometimes expressed as...Ch. 36 - Does time dilation mean that time actually passes...Ch. 36 - Prob. 8QCh. 36 - If you were traveling away from Earth at speed...Ch. 36 - Do time dilation and length contraction occur at...Ch. 36 - Suppose the speed of light were infinite. What...Ch. 36 - Discuss how our everyday lives would be different...Ch. 36 - Explain how the length contraction and time...Ch. 36 - The drawing at the start of this Chapter shows the...Ch. 36 - Prob. 15QCh. 36 - Can a particle of nonzero mass attain the speed of...Ch. 36 - Prob. 17QCh. 36 - If mass is a form of energy, does this mean that a...Ch. 36 - Prob. 19QCh. 36 - Is our intuitive notion that velocities simply...Ch. 36 - (I) A spaceship passes you at a speed of 0.850c....Ch. 36 - Prob. 2PCh. 36 - (II) According to the special theory of...Ch. 36 - (II) If you were to travel to a star 135...Ch. 36 - (II) What is the speed of a pion if its average...Ch. 36 - (II) In an Earth reference frame, a star is 56...Ch. 36 - (II) Suppose you decide to travel to a star 65...Ch. 36 - (II) At what speed v will the length of a 1.00-m...Ch. 36 - (II) Escape velocity from the Earth is 11.2 km/s....Ch. 36 - (II) A friend speeds by you in her spacecraft at a...Ch. 36 - (II) At what speed do the relativistic formulas...Ch. 36 - (II) A certain star is 18.6 light-years away. How...Ch. 36 - (II) Suppose a news report stated that starship...Ch. 36 - (II) An unstable particle produced in an...Ch. 36 - (II) When it is stationary, the half-life of a...Ch. 36 - (II) In its own reference frame, a box has the...Ch. 36 - (II) When at rest, a spaceship has the form of an...Ch. 36 - (II) How fast must a pion be moving on average to...Ch. 36 - (I) An observer on Earth sees an alien vessel...Ch. 36 - (I) Suppose in Fig. 3611 that the origins of S and...Ch. 36 - (I) Repeat Problem 20 using the Lorentz...Ch. 36 - (II) In Problem 21, suppose that the person moves...Ch. 36 - (II) Two spaceships leave Earth in opposite...Ch. 36 - (II) Reference frame S moves at speed v = 0.92c in...Ch. 36 - (II) A spaceship leaves Earth traveling at 0.61c....Ch. 36 - (II) Your spaceship, traveling at 0.90c, needs to...Ch. 36 - (II) A spaceship traveling at 0.76c away from...Ch. 36 - Prob. 28PCh. 36 - (II) A stick of length 0, at rest in reference...Ch. 36 - (III) In the old West, a marshal riding on a train...Ch. 36 - (III) Two lightbulbs, A and B, are placed at rest...Ch. 36 - (III) An observer in reference frame S notes that...Ch. 36 - (III) A farm boy studying physics believes that he...Ch. 36 - (I) What is the momentum of a proton traveling at...Ch. 36 - Prob. 35PCh. 36 - (II) A particle of mass m travels at a speed v =...Ch. 36 - (II) An unstable particle is at rest and suddenly...Ch. 36 - Prob. 38PCh. 36 - Prob. 39PCh. 36 - Prob. 40PCh. 36 - (I) The total annual energy consumption in the...Ch. 36 - Prob. 42PCh. 36 - Prob. 43PCh. 36 - Prob. 44PCh. 36 - (II) How much energy can be obtained front...Ch. 36 - (II) To accelerate a particle of mass m from rest...Ch. 36 - Prob. 47PCh. 36 - Prob. 48PCh. 36 - Prob. 49PCh. 36 - Prob. 50PCh. 36 - (II) What is the speed of a proton accelerated by...Ch. 36 - (II) Two identical particles of mass m approach...Ch. 36 - (II) What is the speed of an electron just before...Ch. 36 - Prob. 55PCh. 36 - Prob. 56PCh. 36 - (II) Suppose a spacecraft of mass 17,000 kg is...Ch. 36 - Prob. 58PCh. 36 - Prob. 59PCh. 36 - Prob. 60PCh. 36 - Prob. 61PCh. 36 - Prob. 62PCh. 36 - (III) (a) In reference frame S, a particle has...Ch. 36 - Prob. 64PCh. 36 - (II) A spaceship moving toward Earth at 0.70c...Ch. 36 - Prob. 66PCh. 36 - (III) A radar speed gun emits microwaves of...Ch. 36 - (III) A certain atom emits light of frequency f0...Ch. 36 - An atomic clock is taken to the North Pole, while...Ch. 36 - A spaceship in distress sends out two escape pods...Ch. 36 - An airplane travels 1300 km/h around the Earth in...Ch. 36 - The nearest star to Earth is Proxima Centauri, 4.3...Ch. 36 - Prob. 73GPCh. 36 - A healthy astronauts heart rate is 60 beats/min....Ch. 36 - A spacecraft (reference frame S) moves past Earth...Ch. 36 - Rocket A passes Earth at a speed of 0.65c. At the...Ch. 36 - (a) What is the speed v of an electron whose...Ch. 36 - As a rough rule, anything traveling faster than...Ch. 36 - Prob. 79GPCh. 36 - Prob. 80GPCh. 36 - Prob. 81GPCh. 36 - A free neutron can decay into a proton, an...Ch. 36 - The Sun radiates energy at a rate of about 4 1026...Ch. 36 - An unknown particle is measured to have a negative...Ch. 36 - How much energy would be required to break a...Ch. 36 - Prob. 86GPCh. 36 - Two protons, each having a speed of 0.985c in the...Ch. 36 - When two moles of hydrogen molecules (H2) and one...Ch. 36 - The fictional starship Enterprise obtains its...Ch. 36 - A spaceship and its occupants have a total mass of...Ch. 36 - In a nuclear reaction two identical particles are...Ch. 36 - A 32,000-kg spaceship is to travel to the vicinity...Ch. 36 - Suppose a 14,500-kg spaceship left Earth at a...Ch. 36 - A pi meson of mass m decays at rest into a muon...Ch. 36 - Astronomers measure the distance to a particular...Ch. 36 - A 1.88-kg mass oscillates on the end of a spring...Ch. 36 - Show that the spacetime interval, (c t)2 (x)2, is...Ch. 36 - Prob. 98GPCh. 36 - (II) For a 1.0-kg mass, make a plot of the kinetic...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- An enemy spacecraft moves away from the Earth at a speed of v = 0.800c (Fig. P9.19). A galactic patrol spacecraft pursues at a speed of u = 0.900c relative to the Earth. Observers on the Earth measure the patrol craft to be overtaking the enemy craft at a relative speed of 0.100c. With what speed is the patrol craft overtaking the enemy craft as measured by the patrol crafts crew? Figure. P9.19arrow_forward(i) Does the speed of an electron have an upper limit? (a) yes, the speed of light c (b) yes, with another value (c) no (ii) Does the magnitude of an electrons momentum have an upper limit? (a) yes, mec (b) yes, with another value (c) no (iii) Does the electrons kinetic energy have an upper limit? (a) yes, mec2 (b) yes, 12mec2 (c) yes, with another value (d) noarrow_forwardThe muon is an unstable particle that spontaneously decays into an electron and two neutrinos. If the number of muons at t = 0 is N0, the number at time t is given by , where τ is the mean lifetime, equal to 2.2 μs. Suppose the muons move at a speed of 0.95c and there are 5.0 × 104 muons at t = 0. (a) What is the observed lifetime of the muons? (b) How many muons remain after traveling a distance of 3.0 km?arrow_forward
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